The paper discusses several feasibility prediction criteria with particular emphasis on light atom molecules. For several examples of refined absolute structures, feasibility predictions are calculated and compared with a posteriori calculated values of the Bijvoet ratio. An extension of the Pathasarathy table of the expected value of the Bijvoet ratio is given for parameter ranges corresponding to light anomalous scatterers. Practical conclusions are drawn for absolute structure determination of compounds containing oxygen or nitrogen as anomalous scatterers. o 1993 Wiey-Liss, Inc.KEY WORDS: anomalous dispersion, absolute structure, enantiomer determinationThe use of X-ray anomalous scattering for determination of absolute structures of crystalline substances and deduction of the absolute configuration of molecules was introduced by Coster and Knol in 1930' and was applied to organic substances by Bijvoet in 1949.' The method is being constantly developed, parallel with the improvement of diffraction techniques and registration of X-rays, especially since the advent of synchrotron radiation facilities.For organic chemists and pharmacologists, who operate within the range of small to medium size organic molecules, two questions are crucial: the feasibility of chiral discrimination and the reliability of enantiomer identification. The problem is a routine matter for small molecules containing relatively heavy atoms (Cl, S, Al). For such atoms, the anomalous dispersion component is relatively high, and the resulting anomalous dispersion contribution is easily observable.For lighter heteroatoms like F and 0, the feasibility of enantiomer determination is strongly dependent on several factors: atomic fraction of the "heavy atom," structural parameters describing chirality, and, on the experimental side, the choice of proper radiation and strategy of measurements.
Basic DefinitionsDispersion corrections to scattering factors Atomic scattering factors fo for X-rays are calculated and tabulated on the assumption that the frequency of the incident radiation is large compared with any absorption frequency of the atom; a further assumption is also made that all electrons scatter as free classical electrons with interference due to spatial distribution. The scattering power of a bound electron as well as the phase of the scattered X-rays may be different from those for a free electron. The atomic scattering power may be written in the form:where Af' and Af' denote the real and imaginary dispersion corrections. We define the anomalous phase rotation by k = Af t ' @' + Af ') and so equation (1) can be cast in the form:The values of the dispersion corrections depend upon the distance on the energy scale between the incident radiation and the absorption edge of the scattering atom. Dispersion corrections are less sensitive a function of the diffraction angle than f", since the dispersion effect appears predominantly in the inner shells of the atom. A comprehensive list of the dispersion corrections is published in the I...